How do you simplify (4 / 2) + 4(5 - 2)^2 (42)+4(5−2)2 using PEMDAS?

2 Answers
Jim G.
Mar 27, 2018

3838

Explanation:

"simplify using PEMDAS"simplify using PEMDAS

["P-parenthesis (brackets), E-exponents (powers), "[P-parenthesis (brackets), E-exponents (powers),
"M-multiplication, D-division, A-addition, S-subtraction"]M-multiplication, D-division, A-addition, S-subtraction]

rArr2+4(3)^2larrcolor(red)"parenthesis"⇒2+4(3)2←parenthesis

=2+4xx9larrcolor(red)"exponents"=2+4×9←exponents

=2+36larrcolor(red)"multiplication"=2+36←multiplication

=38larrcolor(red)"addition"=38←addition

EZ as pi
Mar 27, 2018

3838

Explanation:

The most important thing is to identify and count the number of TERMS first.

Terms are separated by + and -+and− signs.

Each term is simplified to a single answer and they are added or subtracted in the last step.

Within each term: the order is

Brackets
powers and roots
Of
multiplication and division

" "color(blue)((4 / 2))color(red)( + 4(5 - 2)^2)" "larr (42)+4(5−2)2 ← there are 2 terms
" "darr color(white)(xxx..x)darr" " ↓×x..x↓ division and subtraction
=color(blue)((2))" "color(red)( +" " 4(3)^2)=(2) + 4(3)2
" "darr color(white)(xxx..x)darr ↓×x..x↓
=color(blue)(2)" "color(red)( +" " 4(9)=2 + 4(9)
" "darr color(white)(xxxx.x)darr ↓××.x↓
=color(blue)(2)" "color(red)( +" " 36)=2 + 36

=38=38

Related questions
See all questions in PEMDAS
Impact of this question
1733 views around the world
You can reuse this answer
Creative Commons License